Extensive research

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  • Thanks to a long, successful marketing campaign by De Beers, diamonds became strongly associated with romantic love, first in the United States and then globally (see.Figure.5). In the 1940s the company launched a long-running and renowned campaign around the theme “A diamond is forever.” Over many decades, hundreds of millions of dollars were spent to market the notion that diamonds signify romance and love. That campaign benefited the entire diamond industry.

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  • In this paper we treat the two-variable positive extension problem for trigonometric polynomials where the extension is required to be the reciprocal of the absolute value squared of a stable polynomial. This problem may also be interpreted as an autoregressive filter design problem for bivariate stochastic processes. We show that the existence of a solution is equivalent to solving a finite positive definite matrix completion problem where the completion is required to satisfy an additional low rank condition. ...

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  • Let G be a connected, real, semisimple Lie group contained in its complexification GC , and let K be a maximal compact subgroup of G. We construct a KC -G double coset domain in GC , and we show that the action of G on the K-finite vectors of any irreducible unitary representation of G has a holomorphic extension to this domain. For the resultant holomorphic extension of K-finite matrix coefficients we obtain estimates of the singularities at the boundary, as well as majorant/minorant estimates along the boundary. ...

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  • We prove an identity of Kloosterman integrals which is the fundamental lemma of a relative trace formula for the general linear group in n variables. 1. Introduction One of the simplest examples of Langlands’ principle of functoriality is the quadratic base change. Namely, let E/F be a quadratic extension of global fields and z → z the corresponding Galois conjugation. The base change associates to every automorphic representation π of GL(n, F) an automorphic representation Π of GL(n,E). If n = 1 then π is an id`ele class character and Π(z) = π(zz)....

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  • I studied and worked and learned my trade I had the life of an earthman made; But I met a spaceman and got way-laid— I went where I wasn't going! The Spaceman's Lament. This etext was produced from Analog Science Fact & Fiction October and November 1963. Extensive research did not uncover any evidence that the U.S. copyright on this publication was renewed.

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  • We give an upper bound on the number of extensions of a fixed number field of prescribed degree and discriminant ≤ X; these bounds improve on work of Schmidt. We also prove various related results, such as lower bounds for the number of extensions and upper bounds for Galois extensions.

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  • Let f be a real-valued function on a compact set in Rn , and let m be a positive integer. We show how to decide whether f extends to a Cm function on Rn . Introduction Continuing from [F2], we answer the following question (“Whitney’s extension problem”; see [hW2]). Question 1. Let ϕ be a real-valued function defined on a compact subset E of Rn . How can we tell whether there exists F ∈ C m (Rn ) with F = ϕ on E? Here, m ≥ 1 is given, and C m (Rn ) denotes the space...

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  • The first edition of this text was written in the early 1990s. Since then, the field of clinical research methods has continued to develop rapidly, and this second edition has been extensively updated to reflect these developments. We have also tried to make the whole book more user friendly, both in layout and in content. All chapters now have summaries and boxes highlighting the key points, and we have provided many more illustrative examples. The biggest area of change is in our treatment of qualitative methods.

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  • In this paper, we solve the following extension problem. Problem 1. Suppose we are given a function f : E → R, where E is a given subset of Rn. How can we decide whether f extends to a Cm−1,1 function F on Rn ? Here, m ≥ 1 is given. As usual, Cm−1,1 denotes the space of functions whose (m − 1)rst derivatives are Lipschitz 1. We make no assumption on the set E or the function f. This problem, with Cm in place of Cm−1,1, goes back to Whitney [15], [16], [17]. To answer it, we prove the following sharp form of the Whitney extension theorem....

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  • Let E be an elliptic curve over Q, let p be an ordinary prime for E, and let K be an imaginary quadratic field. Write K∞/K for the anticyclotomic Zp-extension of K and set G∞ = Gal(K∞/K). Following a construction of Section 2 of [BD1] which is recalled in Section 1, one attaches to the data (E,K, p) an anticyclotomic p-adic L-function Lp(E,K) which belongs to the Iwasawa algebra Λ := Zp[[G∞]]. This element, whose construction was inspired by a formula proved in [Gr1], is known, thanks to work of Zhang ([Zh, §1.

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  • The well studied bacterial tyrosinases from theStreptomycessp. bacteria are distinguishable from their eukaryotic counterparts by the absence of a C-terminal extension. In the present study, we report that the tyrosinase from the bacterium Verrucomicrobium spinosumalso has such a C-terminal extension, thus making it distinct from the Streptomycesenzymes.

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  • Abstract Epidermal growth factor receptor (EGFR) kinase domain mutations hyperactivate the kinase and confer kinase addiction of the non-small-cell lung cancer (NSCLC) tumor cells. Almost all of these mutations are located within exons 18-21. The -216 single nucleotide polymorphism in the promoter region is associated with increased EGFR production. We present a method for detecting these common mutations in 81 cases of NSCLC.

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  • The amino acid sequence of ervatamin-C, a thermostable cysteine protease from a tropical plant, revealed an additional 24-amino-acid extension at its C-terminus (CT). The role of this extension peptide in zymogen activation, catalytic activity, folding and stability of the protease is reported.

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  • Extensive research has been performed to unravel the mechanistic signaling pathways mediated by tumor necrosis factor receptor 1 (TNFR1), by con-trast there is limited knowledge on cellular signaling upon activation of TNFR2.

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  • This document provides an initial version of the methodological approaches to be taken in the Congressionallymandated study of the SBIR program at the five agencies accounting for 96 percent of the SBIR program expenditures.1 The proposed methodology draws extensively on the methodologies developed for the review of the previous NRC assessment of the SBIR at the Department of Defense, SBIR: An Assessment of the Department of Defense Fast Track Initiative.

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  • Oculopharyngeal muscular dystrophy (OPMD) is an autosomal dominant disease that usually manifests itself within the fifth decade. The most prom-inent symptoms are progressive ptosis, dysphagia, and proximal limb mus-cle weakness. The disorder is caused by trinucleotide (GCG) expansions in the N-terminal part of the poly(A)-binding protein 1 (PABPN1) that result in the extension of a 10-alanine segment by up to seven more alanines.

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  • This paper presents a status quo of an ongoing research study of collocations – an essential linguistic phenomenon having a wide spectrum of applications in the field of natural language processing. The core of the work is an empirical evaluation of a comprehensive list of automatic collocation extraction methods using precision-recall measures and a proposal of a new approach integrating multiple basic methods and statistical classification.

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  • Allan BORRA Software Technology Department De La Salle University 2401 Taft Avenue, Manila, Philippines ccsabb@ccs.dlsu.edu.ph languages spoken in Southern Philippines. But as of yet, extensive research has already been done on theoretical linguistics and little is known for computational linguistics. In fact, the computational linguistics researches on Philippine languages are mainly focused on Tagalog.1 There are also notable work done on Ilocano.

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  • We believe that language is a complex adaptive system that emerges from adaptive interactions between language users and continues to evolve and adapt through repeated interactions. Our research looks at the mechanisms and processes involved in such emergence and adaptation. To provide a basis for our computer simulations, we have implemented an open-ended, extensible testbed called Babel which allows rapid construction of experiments and flexible visualization of results.

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  • Historically, most cancer research has been conducted through small independent projects initiated by individual investigators with relatively small research groups. Such research is driven by focused hypotheses addressing specific biological questions. There will always be a need for this traditional approach to research; in recent years, however, it has also become more feasible to undertake projects on a broader and larger scale, thereby developing extensive pools of data and research tools that can facilitate those more conventional efforts....

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